Question
The ratio of the cost price to the marked price of an
article is 3:4 and the ratio of the profit percentage to the discount percentage is 4:3. Find the profit percentage.Solution
CP:MP = 3x:4x Profit = MP – CP = 4x – 3x = x Profit% : Discount% = 4:3 Let CP = 300 and SP = (x + 3x = 4x) = 400 According to question, => (4x/100) × 300 + (3x/100) × 400 => 12x + 12x = 24x => 24x ----100 => x = 4.166% Profit % = 4 × 4.166% = 16.66%
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